Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
F || q || (~p -> (F /\ r)) || q || ~~p || q || ~(~p /\ ~p) || (F /\ r) || q || ~~p
⇒ logic.propositional.falsezeroandF || q || (~p -> F) || q || ~~p || q || ~(~p /\ ~p) || (F /\ r) || q || ~~p
⇒ logic.propositional.defimplF || q || ~~p || F || q || ~~p || q || ~(~p /\ ~p) || (F /\ r) || q || ~~p
⇒ logic.propositional.falsezeroandF || q || ~~p || F || q || ~~p || q || ~(~p /\ ~p) || F || q || ~~p
⇒ logic.propositional.falsezeroorq || ~~p || F || q || ~~p || q || ~(~p /\ ~p) || F || q || ~~p
⇒ logic.propositional.falsezeroorq || ~~p || q || ~~p || q || ~(~p /\ ~p) || F || q || ~~p
⇒ logic.propositional.falsezeroorq || ~~p || q || ~~p || q || ~(~p /\ ~p) || q || ~~p
⇒ logic.propositional.idempandq || ~~p || q || ~~p || q || ~~p || q || ~~p
⇒ logic.propositional.idemporq || ~~p || q || ~~p
⇒ logic.propositional.idemporq || ~~p
⇒ logic.propositional.notnotq || p